Exact Solution to The Time-Fractional Klein-Gordon Equation of Distributed Order Via the Fox H-Function

摘要

In this article, the time-fractional Klein-Gordon equation of distributed order are introduced and some aspects of this equation is expressed. Also, using the appropriate joint integral transform fundamental solution of this equation is obtained through the Fox H-function. The Mellin transform is an appropriate approach to change the fundamental solution in to the Fox H-function.